Home
Class 12
MATHS
If two different numbers are taken from ...

If two different numbers are taken from the set {0, 1, 2, 3, …, 10}, then the probability that their sum as well as absolute difference are both multiples of 4, is

A

`(7)/(55)`

B

`(6)/(55)`

C

`(12)/(55)`

D

`(14)/(45)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

Similar Questions

Explore conceptually related problems

Three different numbers are selected at random from the set A = (1, 2, 3,...., 10). The probability that the product of two of the numbers is equal to the third is

Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ....., 20}. Statement-1: The probability that the chosen numbers when arranged in some order will form an AP Is 1/(85) . Statement-2: If the four chosen numbers form an AP, then the set of all possible values of common difference is {1, 2, 3, 4, 5}. (1) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1 (2) Statement-1 is true, Statement-2 is false (3) Statement-1 is false, Statement-2 is true (4) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1

20 cards are numbered from 1 to 20. One card is then drawn at random. What is the probability that the number on the card will be : a multiple of 4 ?

20 cards are numbered from 1 to 20. One card is then drawn at random. What is the probability that the number on the card will be : not a multiple of 4 ?

Tickets are numbered from 1 to 10. two tickets are drawn one after the other at random. Find the probability that the number on one of the tickets is a multiple of 5 and on the other a multiple of 4.

Two numbers are selected randomly from the set S={1,2,3,4,5,6} without replacement one by one. The probability that minimum of the two numbers is less than 4 is a. 1//15 b. 14//15 c. 1//5 d. 4//5

20 cards are numbered from 1 to 20. One card is then drawn at random. What is the probability that the number on the card will be : not a multiple of 6?

A bag contains 120 identical tokens on which numbers 1 to 120 are marked. A token is drawn randomly. What is the probability that the number on the token is : a multiple of 3 and 4

ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. A multiple choice examination has 5 questions. Each question has three...

    Text Solution

    |

  2. Four person independently solve a certain problem correctly with pro...

    Text Solution

    |

  3. Of the three independent events E(1),E(2),and E(3), the probability th...

    Text Solution

    |

  4. A box B(1) contains 1 white ball, 3 red balls, and 2 black balls. An- ...

    Text Solution

    |

  5. A box B1 contains 1 white ball, 3 red balls and 2 black balls. Another...

    Text Solution

    |

  6. Let A and B be two events, such that P(bar(A cup B))=(1)/(6), P(A cap ...

    Text Solution

    |

  7. Three boys and two girls stand in a queue. The probability, that the n...

    Text Solution

    |

  8. Box 1 contains three cards bearing number 1,2,3 , box 2 contains five ...

    Text Solution

    |

  9. Box 1 contains three cards bearing numbers 1, 2, 3; box 2 contains fiv...

    Text Solution

    |

  10. If 12 indentical balls are to placed in 3 indntical boxes, then the pr...

    Text Solution

    |

  11. The minimum number of times a fair coin needs to be tossed, so that th...

    Text Solution

    |

  12. Let n1 and n2 be the number of red and black balls respectively,in box...

    Text Solution

    |

  13. There are two bags I and II . Bag I contains 4 white and 3 red balls a...

    Text Solution

    |

  14. Let two fair six-faced dice A and B be thrown simltaneously. If E(1) i...

    Text Solution

    |

  15. A computer producing factory has only two plants T(1) and T(2). Plant ...

    Text Solution

    |

  16. Football teams T1 and T2 have to play two games against each other. It...

    Text Solution

    |

  17. Football teams T(1)and T(2) have to play two games are independent. Th...

    Text Solution

    |

  18. A box contains 15 green and 10 yellow balls. If 10 balls are randomly ...

    Text Solution

    |

  19. If two different numbers are taken from the set {0, 1, 2, 3, …, 10}, t...

    Text Solution

    |

  20. For three events A ,B and C ,P (Exactly one of A or B occurs) =P (Exac...

    Text Solution

    |